If 1*548 is divisible by 3, then * can take the value
(a)0        
(b)  2        
(c)  7       
(d)  8

If 1 * 548 is divisible by 3, which of the following digits can replace * ? (a) 0 (b) 2 (c) 7 (d) 9

If x^n-1 is divisible by x-k then the least positive integral value of k is(a) 1 (b) 2 (c) 3 (d) 4

If x^(140)+2x^(151)+k is divisible by x+1 , then the value of k is=? (a) 1 (b) -3 (c) 2 (d) -2

If x^n-1 is divisible by x-lambda, then the least prositive integral value of lambda is 1 b. 3 c. 4 d. 2

Given that A ,\ B are positive acute angles and sqrt(3)\ sin2A=sin2B\ &\ sqrt(3)sin^2A+sin^2B=(sqrt(3)-1)/2 , then A\ or\ B may take the value(s) (a) 15^0 (b) 30^0 (c) 45^0 (d) 75^0

If 10^n+3xx4^(n+2)+lambda is divisible by 9 or all n N , then the least positive integral value of lambda is a. 5 b. 3 c. 7 d. 1

Among the 8! [permutations of the digits 1, 2, 3..., 8, consider those arrangements which have the following property. If we take any five consecutive positions the product of the digits in these positions is divisible by 5. The number of such arrangements is equal to a. 7! b. 2.(7!) c. 7C_4 d. none of these

The difference of the squares of two consecutive odd integers is divisible by (a) 3 (b) 6 (c) 7 (d) 8

If a seven-digit number made up of all distinct digits 8, 7, 6, 4, 2, x and y divisible by 3, then (A) Maximum value of x-y is 9 (B) Maximum value of x+y is 12 (C) Minimum value of xy is 0 (D) Minimum value of x+y is 3

If x^2+x+1 is a factor of the polynomial 3x^3+8x^2+8x+3+5k , then the value of k is (a) 0 (b) 2/5 (c) 5/2 (d) -1